On duality theorems for a nondifferentiable minimax fractional programming

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摘要

The optimality conditions of [Lai et al. (J. Math. Anal. Appl. 230 (1999) 311)] can be used to construct two kinds of parameter-free dual models of nondifferentiable minimax fractional programming problems which involve pseudo-/quasi-convex functions. In this paper, the weak duality, strong duality, and strict converse duality theorems are established for the two dual models.

论文关键词:26A51,49J35,90C32,Minimax fractional problem,Pseudo-convex,Quasi-convex,Duality,Polyhedral cone

论文评审过程:Received 15 November 2000, Revised 5 June 2001, Available online 24 May 2002.

论文官网地址:https://doi.org/10.1016/S0377-0427(02)00422-3